This advanced undergraduate-level introductory textbook first addresses groups, rings, fields and polynomials, then provides coverage of Galois theory and the proof of the unsolvability by radicals of the general equations of degree 5. With many examples, illustrations, commentaries and exercises. 13 appendices. Recommended for teacher education by The American Mathematical Monthly. 1971 edition.

This advanced undergraduate-level introductory textbook first addresses groups, rings, fields and polynomials, then provides coverage of Galois theory and the proof of the unsolvability by radicals of the general equations of degree 5. With many examples, illustrations, commentaries and exercises. 13 appendices. Recommended for teacher education by The American Mathematical Monthly. 1971 edition.